Question

A chess club has 480 members but is losing 30 members each year. A computer club has 130 members and is gaining 20 members per year. When will the two clubs have the same number of members?

Answer 1

Answer:

The two clubs will have the same number of members after 7 years

Step-by-step explanation:

Let the number of years is x

∵ A chess club has 480 members but is losing 30 members each year

∵ The number of years = x

∴ The total members after x years = 480 - 30x ⇒ (1)

∵ A computer club has 130 members and is gaining 20 members per year

∵ The number of years = x

∴ The total members after x years = 130 + 20x ⇒ (2)

∵ The two clubs will have the same number of members after x years

→ Equate (1) and (2)

∴ 480 - 30x = 130 + 20x

→ Add 30x t both sides

∵ 480 - 30x + 30x = 130 + 20x + 30x

∴ 480 = 130 + 50x

→ Subtract 130 from both sides

∵ 480 - 130 = 130 - 130 + 50x

∴ 350 = 50x

→ Divide both sides by 50

∴ 7 = x

∴ The two clubs will have the same number of members after 7 years